84211364055625 has 45 divisors (see below), whose sum is σ = 105578837381523. Its totient is φ = 67146832176000.

The previous prime is 84211364055587. The next prime is 84211364055671. The reversal of 84211364055625 is 52655046311248.

It is a happy number.

The square root of 84211364055625 is 9176675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 55978124313609 + 28233239742016 = 7481853^2 + 5313496^2 .

It is not a de Polignac number, because 84211364055625 - 2¹¹ = 84211364053577 is a prime.

It is a super-2 number, since 2×84211364055625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 136044206566 + ... + 136044207184.

Almost surely, 2^{84211364055625} is an apocalyptic number.

84211364055625 is the 9176675-th square number.

84211364055625 is the 4588338-th centered octagonal number.

It is an amenable number.

84211364055625 is a deficient number, since it is larger than the sum of its proper divisors (21367473325898).

84211364055625 is an frugal number, since it uses more digits than its factorization.

84211364055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 52.

The spelling of 84211364055625 in words is "eighty-four trillion, two hundred eleven billion, three hundred sixty-four million, fifty-five thousand, six hundred twenty-five".